MCQ
Half the perimeter of a rectangular garden, whose length is $4m$ more than its width is $36m$. The area of the garden is :
- ✓$320 {~m}^2$
- B$400 {~m}^2$
- C$360 {~m}^2$
- D$300 {~m}^2$
✓
Answer
Correct option: A.
$320 {~m}^2$
Let the width be $x$
then length be $x + 4$
According to the question,
$l + b = 36$
$x + (x + 4) = 36$
$2x + 4 = 36$
$2x = 36 - 4$
$2x = 32$
$x = 16.$
The length of the garden will be $20m$ and width will be $16m$.
Area $=$ length $\times$ breath $= 20 \times 16 = 320 {~m}^2$
then length be $x + 4$
According to the question,
$l + b = 36$
$x + (x + 4) = 36$
$2x + 4 = 36$
$2x = 36 - 4$
$2x = 32$
$x = 16.$
The length of the garden will be $20m$ and width will be $16m$.
Area $=$ length $\times$ breath $= 20 \times 16 = 320 {~m}^2$
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
The area of the triangle formed by the lines $y=x, x=6$ and $y=0$ is
→In the given figure, RJ and RL are two tangents to the circle. If $\angle RJL =42^{\circ}$, then the measure of $\angle JOL$ is :
→Twelve solid spheres of the same size are made by melting a solid metallic cylinder of base diameter $2\ cm$ and height $16\ cm.$ The diameter of each sphere is :
→The coordinates of the point P dividing the line segment joining the points A(1, 3) and B(4, 6) in the ratio 2 : 1 are:
A reservoir is in the shape of a frustum of a right circular cone. It is $8m$ across at the top and $4m$ across at the bottom. If it is $6m$ deep, then its capacity is :
→If the sum of the circumferences of two circles with radii $R_1$ and $R_2$ is equal to the circumference of a circle of radius $R,$ then:
→Three bells ring at intervals of 4,7 and 14 minutes. All the three rang at 6 AM . When will they ring together again?
Assertion - Reason Based Questions: A statement of Assertion (A) is followed by a
statement of Reason (R) Statement A (Assertion): For $0 \theta \leq 90^{\circ}, \operatorname{cosec} \theta$ $-\cot \theta$ and $\operatorname{cosec} \theta+\cot \theta$ are reciprocal of each other.
Statement R (Reason): $\operatorname{cosec}^2 \theta-\cot ^2 \theta=1$
Choose the correct option out of the following:
→statement of Reason (R) Statement A (Assertion): For $0 \theta \leq 90^{\circ}, \operatorname{cosec} \theta$ $-\cot \theta$ and $\operatorname{cosec} \theta+\cot \theta$ are reciprocal of each other.
Statement R (Reason): $\operatorname{cosec}^2 \theta-\cot ^2 \theta=1$
Choose the correct option out of the following:
In Figure, if PQR is the tangent to a circle at Q whose centre is O, AB is a chord parallel to PR and $\angle\text{BQR}=70^\circ,$ then $\angle\text{AQB}$ is equal to:
→A solid is hemispherical at the bottom and conical (of same radius) above it. If the surface areas of the two parts are equal, then the ratio of its radius and the slant height of the conical part is: